Chapter 3 - Section 3.7 - Polynomial and Rational Inequalities - 3.7 Exercises - Page 316: 5

(-∞, -5) U (-5, -3) U (1,∞ )

$(x+5)^2(x+3)(x-1) > 0$ Find the roots of the function $x = -5, -3, 1$ Test numbers in between those zero values to determine if the function is negative or positive (-∞, -5) $(+)(-)(-) = (+)$ (-5, -3) $(+)(-)(-) = (+)$ (-3, 1) $(+)(+)(-) = (-)$ (1, ∞) $(+)(+)(+) = (+)$ Thus the solution is (-∞, -5) U (-5, -3) U (1,∞ )